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Finding the Fourth Proportional to 6,119.95, 9,186.75 and 5,718.40

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Solution

The fourth proportional to 6,119.95, 9,186.75 and 5,718.40 is: 8,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.95 : 9,186.75 = 5,718.40 : x
  2. Step 2: Convert to fraction form
    6,119.95/9,186.75 = 5,718.40/x
  3. Step 3: Cross multiply
    6,119.95x = 9,186.75 × 5,718.40
  4. Step 4: Simplify right side
    6,119.95x = 52,533,511.20
  5. Step 5: Solve for x
    x = 52,533,511.20/6,119.95
  6. Step 6: Final answer
    x = 8,583.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.